周口师范学院学报
週口師範學院學報
주구사범학원학보
Journal of Zhoukou Normal University
2014年
5期
21~24
,共null页
分数阶微分方程 正解 存在唯一性 混合单调算子 不动点定理
分數階微分方程 正解 存在唯一性 混閤單調算子 不動點定理
분수계미분방정 정해 존재유일성 혼합단조산자 불동점정리
fractional differential equation;positive solution;uniqueness and existence;mixed monotone operator;fixed point theorem
利用混合单调算子的不动点定理，研究了一类Caputo型分数阶微分方程正解的存在唯一性。主要结果不仅保证了正解的存在唯一性，而且能构造迭代序列逼近此解。
利用混閤單調算子的不動點定理，研究瞭一類Caputo型分數階微分方程正解的存在唯一性。主要結果不僅保證瞭正解的存在唯一性，而且能構造迭代序列逼近此解。
이용혼합단조산자적불동점정리，연구료일류Caputo형분수계미분방정정해적존재유일성。주요결과불부보증료정해적존재유일성，이차능구조질대서렬핍근차해。
In this paper ,by means of the fixed point theorem for mixed monotone operator ,the existence and uniqueness of positive solution for a class of fractional differential equation with caputo ’s derivative were researched .Main results can not just guarantee the existence and uniqueness of positive solution ,moreover be applied to construct an iterative scheme for approximating the solution .
